Hendecatonic | Hemischis | Twothirdtonic | Nessafof | Septisuperfourth | Whoops | Polypyth

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This family of temperaments tempers out the porwell comma, |11 1 -3 -2> = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof.

Hendecatonic

Commas: 6144/6125, 10976/10935

POTE generator: ~3/2 = 703.054

Map: [<11 0 43 -4], <0 1 -1 2|]
Wedgie: <<11 -11 22 -43 4 82||
EDOs: 22, 55, 77, 99
Badness: 0.0411

11-limit

Commas: 121/120, 176/175, 10976/10935

POTE generator: ~3/2 = 702.636

Map: [<11 0 43 -4 38], <0 1 -1 2 0|]
EDOs: 22, 55, 77, 99, 176e, 275e
Badness: 0.0461

Icosidillic

Commas: 3388/3375, 6144/6125, 9801/9800

POTE generator: 702.914

Map: [<22 0 86 -8 111|, <0 1 -1 2 -1|]
EDOs: 22, 154, 176, 198, 968, 1166
Badness: 0.0577

Hemischis

Commas: 6144/6125, 19683/19600

POTE generator: ~81/70 = 249.203

Map: [<1 0 15 -17|, <0 2 -16 25|]
Wedgie: <<2 -16 25 -30 34 103||
EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313
Badness: 0.0458

11-limit

Commas: 540/539, 8019/8000, 5632/5625

POTE generator: ~81/70 = 249.199

Map: [<1 0 15 -17 51|, <0 2 -16 25 -60|]
EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313
Badness: 0.0363

13-limit

Commas: 351/350, 540/539, 676/675, 4096/4095

POTE generator: ~15/13 = 249.199

Map: [<1 0 15 -17 51 14|, <0 2 -16 25 -60 -13|]
EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 313
Badness: 0.0208

17-limit

Commas: 351/350, 442/441, 561/560, 676/675, 4096/4095

POTE generator: ~15/13 = 249.190

Map: [<1 0 15 -17 51 14|, <0 2 -16 25 -60 -13|]
EDOs: 5, 9, 14, 19, 24, 29, 53, 130, 183, 679
Badness: 0.0211

Twothirdtonic

Commas: 686/675, 6144/6125

POTE generator: ~15/14 = 130.401

Map: [<1 3 2 4|, <0 -13 3 -11|]
Wedgie: <<13 -3 11 -35 -19 34||
EDOs: 9, 10, 19, 28, 37, 46
Badness: 0.0996

11-limit

Commas: 121/120, 176/175, 686/675

POTE generator: ~15/14 = 130.430

Map: [<1 3 2 4 4|, <0 -13 3 -11 -5|]
EDOs: 9, 10, 19, 28, 37, 46
Badness: 0.0408

13-limit

Commas: 91/90, 121/120, 169/168, 176/175

POTE generator: ~15/14 = 130.409

Map: [<1 3 2 4 4 5|, <0 -13 3 -11 -5 -12|]
EDOs: 9, 10, 19, 28, 37, 46
Badness: 0.0259

Nessafof

Commas: 6144/6125, 250047/250000

POTE generator: ~35/32 = 157.420

Map: [<3 2 5 10|, <0 7 5 -4|]
Wedgie: <<21 15 -12 -25 -78 -70||
EDOs: 15, 69, 84, 99, 282, 381
Badness: 0.0450

Septisuperfourth

Commas: 6144/6125, 118098/117649

POTE generator: ~48/35 = 544.680

Map: [<2 4 4 7|, <0 -9 7 -15|]
Wedgie: <<18 -14 30 -64 -3 109||
EDOs: 22, 86, 108, 130, 152, 282
Badness: 0.0592

11-limit

Commas: 540/539, 4000/3993, 5632/5625

POTE generator: ~48/35 = 544.696

Map: [<2 4 4 7 6|, <0 -9 7 -15 10|]
EDOs: 22, 86, 108, 130, 152, 282, 434de, 716de
Badness: 0.0246

13-limit

Commas: 540/539 729/728 4000/3993 21168/21125

POTE generator: ~48/35 = 544.675

Map: [<2 4 4 7 6 11|, <0 -9 7 -15 10 -39|]
EDOs: 130, 282
Badness: 0.0229

Septisuperquad

Commas: 351/350, 364/363, 540/539, 5632/5625

POTE generator: ~48/35 = 544.641

Map: [<2 4 4 7 6 5|, <0 -9 7 -15 10 26|]
EDOs: 22, 108, 130
Badness: 0.0330

Whoops

Commas: 6144/6125, 244140625/243045684

POTE generator: ~441/320 = 560.519

Map: [<1 17 14 -7|, <0 -33 -25 21|]
Wedgie: <<33 25 -21 -37 -126 -119||
EDOs: 15, 122d, 137, 152, 608d, 623bd, 775bcd
Badness: 0.1758

11-limit

Commas: 6144/6125, 3025/3024, 4000/3993

POTE generator: ~242/175 = 560.519

Map: [<1 17 14 -7 10|, <0 -33 -25 21 -14|]
EDOs: 15, 122d, 137, 152, 608de, 623bde, 775bcde
Badness: 0.0437

Polypyth

Commas: 6144/6125, 179200/177147

POTE generator: ~3/2 = 704.174

Map: [<1 0 -31 52|, <0 1 21 -31|]
EDOs: 46, 121, 167, 288b, 455bcd, 743bcd
Badness: 0.13800

11-limit

Commas: 896/891, 2200/2187, 6144/6125

POTE generator: ~3/2 = 704.177

Map: [<1 0 -31 52 59|, <0 1 21 -31 -35|]
EDOs: 46, 121, 167, 288be, 455bcde
Badness: 0.0511

13-limit

Commas: 325/324, 352/351, 364/363, 1716/1715

POTE generator: ~3/2 = 704.168

Map: [<1 0 -31 52 59 64|, <0 1 21 -31 -35 -38|]
EDOs: 46, 121, 167, 288be
Badness: 0.0303

17-limit

Commas: 256/255, 325/324, 352/351, 364/363, 1716/1715

POTE generator: ~3/2 = 704.168

Map: [<1 0 -31 52 59 64 39|, <0 1 21 -31 -35 -38 -22|]
EDOs: 46, 121, 167, 288beg
Badness: 0.0191